Stringer / Pozzoli / Sindoni Plasma Transport, Heating and MHD Theory

Proceedings of the Workshop, Varenna, Italy, 12-16 September 1977
1. Auflage 2013
ISBN: 978-1-4831-3943-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 440 Seiten, Web PDF

Plasma Transport, Heating and MHD Theory provides information pertinent to the theory of plasma transport, heating, and MHD. This book describes the resistive steady states of elliptical cross-section plasmas. Organized into five parts encompassing 28 chapters, this book begins with an overview of the effects due to instabilities excited in the low-density regime of tokamaks by runaway electrons via the cyclotron resonance. This text then examines the formulation of transport theory, which is applied to transport in tokamak due to trapped-particle instabilities in the quasi-linear stage. Other chapters consider the stability of the boundary regions of gas insulated plasmas. This book discusses as well the zero-dimensional or point model of the Elmo Bumpy Torus (EBT) experiment in which spatial dependences are eliminated by replacing all plasma gradients by characteristic scale lengths equal to the plasma minor radius. The final chapter deals with anomalous transport theory. This book is a valuable resource for plasma physicists.

Autoren/Hrsg.

Stringer, T.

Pozzoli, R.

Sindoni, E.

Inhaltsverzeichnis

1;Front Cover ;1
2;Plasma Transport, Heating and MHD Theory;4
3;Copyright Page;5
4;Table of Contets;6
5;FOREWORD;10
6;INTRODUCTORY TALK;12
7;Part 1: MODES & INSTABILITIES;14
7.1;Chapter 1. ELECTRONS OF HIGH PERPENDICULAR ENERGY IN THE LOW-DENSITY REGIME OF TOKAMAKS;16
7.1.1;ABSTRACT;16
7.1.2;I. INTRODUCTION;16
7.1.3;II. INSTABILITY DRIVEN BY RUNAWAYS (LINEAR ANALYSIS);18
7.1.4;III. QUASILINEAR RELAXATION, BUMP FORMATION, AND SECONDARY INSTABILITY;27
7.1.5;IV. ELECTRON TRAPPING AND INTERACTION WITH THE WALL;29
7.1.6;V. CONCLUSIONS;31
7.1.7;ACKNOWLEDGEMENT;33
7.1.8;REFERENCES AND FOOTNOTES;33
7.2;DISCUSSION;38
7.3;Chapter 2. MODULATION INSTABILITY IN A MAGNETIC FIELD;42
7.3.1;1. FORMULATION OF THE PROBLEM.;42
7.3.2;ACKNOWLEDGMENTS;48
7.3.3;REFERENCES;49
7.4;DISCUSSION;49
7.5;Chapter 3. NON-THERMAL EMISSION AT THE PLASMA FREQUENCY;50
7.5.1;References:;56
7.6;DISCUSSION;57
7.7;Chapter 4. ASYMPTOTIC THEORY OF DISSIPATIVE TRAPPED ELECTRON MODE OVERLAPPING MANY RATIONAL SURFACES;58
7.7.1;References;68
7.8;DISCUSSION;68
7.9;Chapter 5. NONLINEAR STABILIZATION OF DRIFTWAVES;70
7.9.1;Abstract;70
7.9.2;I . Introduction;70
7.9.3;I I . Drift waves driven by inverse electron Landau damping;71
7.9.4;III . Trapped Electron Mode;78
7.9.5;References;81
7.10;DISCUSSION;82
8;Part 2: MHD THEORY, TRANSPORT PHENOMENA AND CODES;84
8.1;Chapter 6. THE MAKOKOT SIMULATION CODE;86
8.1.1;Rules and transport coefficients used;87
8.1.2;References;90
8.2;DISCUSSION;99
8.3;Chapter 7. THEORY OF ANOMALOUS TRANSPORT DUE TO ELECTROSTATIC FLUCTUATIONS;112
8.3.1;1. INTRODUCTION;112
8.3.2;2. QUASILINEAR THEORY;113
8.3.3;3. UPPER LIMIT ON THE WAVE AMPLITUDE;115
8.3.4;4. ANALYTIC ESTIMATES OF THE SATURATION LEVEL;117
8.3.5;5. PHYSICAL PROCESS DESCRIBED BY QUASILINEAR THEORY;119
8.3.6;6. PARTICLE SCATTERING BY THE FLUCTUATIONS;120
8.3.7;7. NUMERICAL SIMULATION;121
8.3.8;8. THE MARGINAL STABILITY HYPOTHESIS;123
8.3.9;9. COMPARISON OF THEORY AND EXPERIMENT;124
8.3.10;10. CONCLUSlONS;127
8.3.11;REFERENCES;129
8.4;DISCUSSION;131
8.5;Chapter 8. QUASI-LINEAR THEORY OF HEAT FLOW AND DIFFUSION IN A TOKAMAK;138
8.5.1;Abstract;138
8.5.2;I. Introduction;138
8.5.3;II. Turbulent Transport in the Diffusion Approximation;139
8.5.4;III. Turbulent Transport From Trapped-Particle Instabilities;142
8.5.5;IV. Conclusions;150
8.5.6;References;151
8.6;DISCUSSION;152
8.7;Chapter 9. QUASI-LINEAR THEORY OF A TOROIDAL PLASMA IN THE SLIDE-AWAY REGIME;158
8.7.1;1.INTRODUCTION.;158
8.7.2;ACKNOWLEDGMENTS;166
8.7.3;REFERENCES.;167
8.8;DISCUSSION;168
8.9;Chapter 10. RESISTIVE STEADY STATES OF ELLIPTICAL CROSS-SECTION PLASMAS;170
8.9.1;1. INTRODUCTION;170
8.9.2;2. THE MODEL, ASSUMPTIONS AND BOUNDARY CONDITIONS;171
8.9.3;3. ISOTHERMAL PLASMA;176
8.9.4;4. STEADY STATE PLASMA WITH A TEMPERATURE GRADIENT;178
8.9.5;5. DISCUSSION AND CONCLUSIONS;182
8.9.6;ACKNOWLEDGEMENT;183
8.9.7;REFERENCES;183
8.10;DISCUSSION;184
8.11;Chapter 11. INTEGRAL INVARIANTS AND QUASI-MHD NONLINEAR DISSIPATION;188
8.11.1;1. INTRODUCTION;188
8.11.2;2. INTEGRAL INVARIANTS;189
8.11.3;3. DIFFUSION EQUATION FOR THE HELICAL FLUX;191
8.11.4;4. NEOMAGNETOHYDRODYNAMICS OR NEOTHERMODYNAMICS;194
8.11.5;REFERENCES;196
8.12;DISCUSSION;196
8.13;Chapter 12. MHD STABILITY FOR A SPHERATOR WITH A PURELY POLOIDAL MAGNETIC FIELD;200
8.13.1;Introduction;200
8.13.2;Stability;201
8.13.3;Conclusions;208
8.13.4;References;209
8.14;DISCUSSION;210
9;PART 3:
HEATING;212
9.1;Chapter 13. RF-HEATING IN STATIONARY SYSTEMS;214
9.1.1;BIBLIOGRAPHY;216
9.2;DISCUSSION;217
9.3;Chapter 14. LOWER HYBRID RESONANCE HEATING;222
9.3.1;REFERENCES;229
9.4;DISCUSSION;230
9.5;Chapter 15. MAGNETO-ACOUSTIC RESONANCE HEATING IN THE ION-CYCLOTRON FREQUENCY DOMAIN;232
9.5.1;INTRODUCTION.;232
9.5.2;1 . S IMPLIFIEDCOUPLINGC ACULATIONSUSINGCOILS ;233
9.5.3;2 .OPTIMUM COUPLING CONDTIONS .;237
9.5.4;3 .CALCULATIONOFQ .;241
9.5.5;4 .THE ERASMUS TRACKING SCHEME;245
9.5.6;5 .CONCLUSIONS AND DISCUSSION .;248
9.5.7;REFERENCES.;250
9.6;DISCUSSION;251
9.7;Chapter 16. WAVE PROPAGATION AND ABSORPTION NEAR THE ELECTRON-CYCLOTRON LAYERIN THE "THOR'' DEVICE;252
9.7.1;1 . Introduction.;252
9.7.2;2. Propagation and accessibility of the extraordinary mode ina cold plasma.;255
9.7.3;3. Rays in toroidal geometry.;257
9.7.4;4 . Absorption of the electron Bernstein mode near the electroncyclotron layer.;263
9.7.5;5. Conclusions.;266
9.7.6;Acknowledgment.;266
9.7.7;References.;267
9.8;DISCUSSION;268
9.9;Chapter 17. STOCHASTIC HEATING OF AN ION BEAM BY LOWER HYBRID WAVES;272
9.9.1;1 - INTRODUCTION;272
9.9.2;2. TEST PARTICLE IN RESONANCE CONE;273
9.9.3;Acknowledgements;286
9.9.4;REFERENCES;287
9.10;DISCUSSION;288
9.11;Chapter 18. HEATING OF THERMONUCLEARTOROIDAL PLASMAS;290
9.11.1;EXTENDEDSYNOPSIS.;290
9.11.2;REFERENCES;290
9.12;Chapter 19. CONCLUSIONS ON RF HEATINGCONTRIBUTIONS PRESENTED AT THEVARENNA INTERNATIONAL SCHOOL OFPLASMA PHYSICS 1977;292
10;PART 4: BLANKET;296
10.1;Chapter 20. ON THE STABILITY OF LOW FREQUENCY CURRENT DRIVEN MODES IN THE BOUNDARY LAYERS OF GAS INSULATED PLASMAS;298
10.1.1;Abstract;298
10.1.2;1. Introduction;298
10.1.3;2. Starting Points and Assumptions;300
10.1.4;3. Basic Equations;300
10.1.5;4 . Equilibrium;302
10.1.6;5. Stability;303
10.1.7;6. Summary and Conclusion;308
10.1.8;Acknowledgements;309
10.1.9;References;309
10.2;DISCUSSION;310
11;PART 5 : EXPERIMENTAL;312
11.1;Chapter 21. EXPERIMENTAL RESULTS ON THE ERASMUS TOKAMAK;314
11.1.1;1.INTRODUCTION;314
11.1.2;2. CHARACTERISTICS AND PARAMETERS OF ERASMUS (WITHOUT LIMITER) ;315
11.1.3;3.
rf EXPERIMENTS ON ERASMUS;321
11.1.4;ACKNOWLEDGEMENTS .;323
11.1.5; REFERENCES.;326
11.2;DISCUSSION;326
11.3;Chapter 22. EXPERIMENTS IN THE FOM-INSTITUUT VOOR PLASMAFYSICA AT JUTPHAAS, THE NETHERLANDS;328
11.3.1;I. HIGR-ß EXPERIMENTS;328
11.3.2;II. TURBULENT HEATING EXPERIMENTS IN "TORTUR I";331
11.3.3;III. COLD-PLASMA BLANKET RESEARCH IN "RINGBOOG II";333
11.3.4;References;335
11.4;DISCUSSION;336
11.5;Chaptre 23. PREVISION OF THE PLASMA PARAMETERS AND REGIMES IN THE THOR TOKAMAK;338
11.5.1;REFERENCES;346
11.6;DISCUSSION;347
11.7;Chapter 24. JOULE CURRENT INHIBITION IN THE HELIOTRON D DEVICE;348
11.7.1;ABSTRACT;348
11.7.2;1) INTRODUCTION;348
11.7.3;2) THE CURRENT INHIBITION IN THE HELIOTRON D DEVICE;349
11.7.4;3) DISCUSSION;356
11.7.5;ACKNOWLEDGEMENT;361
11.7.6;REFERENCE;362
11.8;DISCUSSION;363
11.9;Chapter 25. HELIOTRON . PROJECT;366
11.9.1;ABSTRACT;366
11.9.2;(1) OUTLINE OF THE HELIOTRON .;366
11.9.3;(2) RESEARCH AND DEVELOPMENT;375
11.9.4;(3) PICTURES OF THE REAL SIZE MDDEL;376
11.10;DISCUSSION;378
11.11;Chapter 26. PLASMA PHYSICS RESEARCH AT THE AUSTRALIAN NATIONAL UNIVERSITY;380
11.11.1;THE LT- 3 TOKAMAK;381
11.11.2;THE LT-4 TOKAMAK;383
11.11.3;ACKNOWLEDGEMENTS;384
11.11.4;REFERENCES;385
11.12;DISCUSSION;386
11.13;Chapter 27. POINT MODEL CALCULATIONS OF EBT PERFORMANCE;388
11.13.1;Abstract;388
11.13.2;I. Introduction;388
11.13.3;II. The EBT Point Model;389
11.13.4;III. Solution of the Equations;392
11.13.5;IV. Applications of the Point Model;394
11.13.6;V. Summary;400
11.13.7;Acknowledgements;401
11.13.8;References;401
11.14;DISCOURSIVE TEXT;402
11.15;Chapter 28. STATUS REPORT ON THE FT TOKAMAK;414
11.15.1;REFERENCE;421
11.16;DISCUSSION;422
12;CONCLUDING DISCUSSIONS ON WORKSHOP;424
13;LIST OF PARTICIPANTS;430
14;SUBJECT INDEX;436